Aim: How do we find the probability of a specific number of of successes when an experiment is repeated n times? (This formula is not given on the Regents Reference Sheet)
At the end of the lesson, you will be able to...
explain what types of problems are Bernoulli experiments (aka the binomial probalility)
discover the formula for counting exactly r successes in n independent trials
compute exactly r successes in n independent trials by using the Bernoulli formula
Here are some items that need to be answered as you watch the videos:
1. Write the formula that includes combination for binomial probability
2. What are the two ways we can use the graphing calculator to help us to solve for a binomial probability?
NB: Some of the videos use "x" instead of "r". That is ok. Remember it is just a variable and it can be any letter
This first video is good!! She has a good strategyy of listing her variables first, then substituting into the formula
This video is by Patrick. He does all the math by hand. Use your calculator to find the answer.
This one is good too.
Classwork: Answer the following questions: Before you try these, list what you need first and fill in the information.
1. A waiter knows from experience that 7 out of 10 people who dine will leave a tip. Tuesday evening, the waiter served 12 lone diners. Find the probability, to the nearest thousandth, that the waiter received a tip from 9 of these diners. (Ans: .240)
2. What is the probability that 2 shows on three dice when four dice are tossed. (Ans: 20/1296)
3. A company that makes breakfast cereal puts a coupon for a free box of cereal in 3 out of every 20 boxes. What is the probability that Mrs. Sullivan will find 2 coupons in the next 5 boxes? (Ans: 442,170/3,200,000)
Homework: #3-13 odd, get in the practice of setting up the problem and using the graphing calculator to do the work for you
At the end of the lesson, you will be able to...
Here are some items that need to be answered as you watch the videos:
1. Write the formula that includes combination for binomial probability
2. What are the two ways we can use the graphing calculator to help us to solve for a binomial probability?
NB: Some of the videos use "x" instead of "r". That is ok. Remember it is just a variable and it can be any letter
This first video is good!! She has a good strategyy of listing her variables first, then substituting into the formula
This video is by Patrick. He does all the math by hand. Use your calculator to find the answer.
This one is good too.
Classwork: Answer the following questions: Before you try these, list what you need first and fill in the information.
1. A waiter knows from experience that 7 out of 10 people who dine will leave a tip. Tuesday evening, the waiter served 12 lone diners. Find the probability, to the nearest thousandth, that the waiter received a tip from 9 of these diners. (Ans: .240)
2. What is the probability that 2 shows on three dice when four dice are tossed. (Ans: 20/1296)
3. A company that makes breakfast cereal puts a coupon for a free box of cereal in 3 out of every 20 boxes. What is the probability that Mrs. Sullivan will find 2 coupons in the next 5 boxes? (Ans: 442,170/3,200,000)
Homework: #3-13 odd, get in the practice of setting up the problem and using the graphing calculator to do the work for you
Probability.JPG
Answers:
A-Probability.JPG
Journal entry: Explain the necessary conditions for applying the Bernoulli formula to finding the probability of a particular event?